Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.0s (58.2%)

Memory

-115.3MiB live, 1 489.9MiB allocated; 1.7s collecting garbage

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-div: 1.1s (71.7% of total)

exact: 279.0ms (19% of total)

ival-mult: 72.0ms (4.9% of total)

ival-sub: 54.0ms (3.7% of total)

ival-true: 6.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

adjust: 2.0ms (0.1% of total)

Bogosity

explain82.0ms (2.4%)

Memory

31.9MiB live, 120.3MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (33% of total)

ival-mult: 4.0ms (33% of total)

ival-sub: 3.0ms (24.8% of total)

exact: 1.0ms (8.3% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.7%)

Memory

-15.7MiB live, 35.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize21.0ms (0.6%)

Memory

-10.1MiB live, 34.9MiB allocated; 7ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (65.3% of total)

ival-div: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

3 → 9

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify83.0ms (2.4%)

Memory

4.6MiB live, 93.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	97
1	60	97
2	196	97
3	881	97
4	4787	97
0	8369	85

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))

rewrite45.0ms (1.3%)

Memory

7.4MiB live, 60.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
0	244	15

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 32

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval11.0ms (0.3%)

Memory: -33.0MiB live, 11.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 455 to 143 computations (68.6% saved)

prune4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Accuracy

100.0%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶	52.3%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	99.9%	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	48.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 142 to 112 computations (21.1% saved)

simplify13.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	26	114
1	43	114
2	86	114
3	174	111
4	266	111
5	329	111
6	355	111
7	373	111
8	386	111
9	394	111
0	394	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 1/6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 1/6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)

localize42.0ms (1.2%)

Memory

-27.3MiB live, 62.3MiB allocated; 11ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	30.467294363451998	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.06640625	(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.1484375	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	30.464665381840945	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	33.17604806142625	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.04296875	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 86 to 14 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.3% of total)

const: 3.0ms (17.7% of total)

ival-div: 2.0ms (11.8% of total)

ival-add: 1.0ms (5.9% of total)

ival-sub: 1.0ms (5.9% of total)

exact: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

11 → 18

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* x x) 3) 6) (- (* x x) 3))
1.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* x x) 3) 6) (- (* x x) 3))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* x x) 3) 6) (- (* x x) 3))

Time

Variable

Point

Expression

1.0ms

inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* x x) 3) 6) (- (* x x) 3))

1.0ms

-inf

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* x x) 3) 6) (- (* x x) 3))

1.0ms

((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (/ (- (* x x) 3) 6) (- (* x x) 3))

simplify101.0ms (2.9%)

Memory

34.9MiB live, 131.4MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	198
1	84	198
2	235	198
3	1014	198
4	5225	198
0	8280	174

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))

rewrite44.0ms (1.3%)

Memory

-3.6MiB live, 41.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	26	96
1	77	96
0	416	96

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

11 → 77

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x x) #s(literal -3 binary64))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x x) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x)))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (*.f64 x x))

eval16.0ms (0.5%)

Memory: -18.1MiB live, 27.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 929 to 321 computations (83.4% saved)

prune5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	117	6	123

Accuracy

100.0%

Counts

123 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
✓	52.3%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 72 to 57 computations (20.8% saved)

simplify59.0ms (1.7%)

Memory

-32.3MiB live, 33.9MiB allocated; 59ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
0	31	84
1	52	84
2	118	84
3	247	84
4	382	84
5	455	84
6	558	84
7	660	84
8	770	84
9	802	84
0	802	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)

localize58.0ms (1.7%)

Memory

2.8MiB live, 90.9MiB allocated; 16ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.0625	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	22.19628305901137	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.05859375	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.12109375	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.3203125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	30.464665381840945	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

40.0ms

256×

valid

Compiler

Compiled 77 to 21 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 8.0ms (27.4% of total)

ival-add: 7.0ms (23.9% of total)

const: 4.0ms (13.7% of total)

ival-div: 3.0ms (10.3% of total)

ival-sub: 3.0ms (10.3% of total)

ival-pow: 3.0ms (10.3% of total)

exact: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

10 → 24

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 18))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (+ 18 (* 6 (pow x 2)))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

2.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

2.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

simplify140.0ms (4.1%)

Memory

0.5MiB live, 185.4MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	302
1	127	302
2	367	302
3	1604	302
4	6997	302
0	8063	278

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 18))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (+ 18 (* 6 (pow x 2)))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* 1/6 x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(literal -1/2 binary64))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(literal -9 binary64))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (- (pow x 4) 9) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 18))
#s(approx (* (+ (* x x) 3) 6) #s(literal 18 binary64))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (+ 18 (* 6 (pow x 2)))))
#s(approx (* (+ (* x x) 3) 6) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#s(approx (- (pow x 4) 9) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* x x) 3) 6) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))

rewrite50.0ms (1.5%)

Memory

24.7MiB live, 71.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	70
0	31	65
1	113	65
0	727	65

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

10 → 124

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/6 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) x))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (fma.f64 x x #s(literal 3 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64))
(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal -9 binary64))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -9 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) #s(literal -9 binary64))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -9 binary64))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) #s(literal -9 binary64))
(fma.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)) #s(literal -9 binary64))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) #s(literal -9 binary64))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) #s(literal -9 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x x)) #s(literal -9 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) #s(literal -9 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
(fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 729 binary64) (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 18 binary64))
(+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 18 binary64))
(+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (.f64 x x)))
(+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))

eval45.0ms (1.3%)

Memory: -19.2MiB live, 37.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 428 to 443 computations (81.8% saved)

prune6.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	139	6	145

Accuracy

100.0%

Counts

145 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.9%	(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
✓	52.3%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 76 to 60 computations (21.1% saved)

simplify22.0ms (0.6%)

Memory

-37.3MiB live, 9.2MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
0	17	42
1	25	42
2	55	42
3	119	42
4	197	42
5	239	42
6	290	42
7	327	42
8	370	42
9	386	42
0	386	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64))))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)

localize40.0ms (1.2%)

Memory

28.1MiB live, 74.3MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0625	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	22.19628305901137	(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	30.33809660453072	#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 16.0ms (64.2% of total)

ival-pow: 3.0ms (12% of total)

ival-div: 2.0ms (8% of total)

ival-sub: 2.0ms (8% of total)

ival-add: 1.0ms (4% of total)

exact: 1.0ms (4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

4 → 13

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 18))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (+ 18 (* 6 (pow x 2)))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

1.0ms

inf

((/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

1.0ms

((/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6))

simplify125.0ms (3.7%)

Memory

-5.4MiB live, 137.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	173
1	97	173
2	311	173
3	1438	173
4	6285	173
0	8936	161

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 18))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (+ 18 (* 6 (pow x 2)))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 -1/2))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(literal -1/2 binary64))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (- (pow x 4) 9) #s(hole binary64 -9))
#s(approx (- (pow x 4) 9) #s(literal -9 binary64))
#s(approx (- (pow x 4) 9) #s(hole binary64 (- (pow x 4) 9)))
#s(approx (- (pow x 4) 9) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 18))
#s(approx (* (+ (* x x) 3) 6) #s(literal 18 binary64))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (+ 18 (* 6 (pow x 2)))))
#s(approx (* (+ (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) 9) #s(hole binary64 (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))))
#s(approx (- (pow x 4) 9) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* 6 (pow x 2))))
#s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64)))
#s(approx (* (+ (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64))))

rewrite62.0ms (1.8%)

Memory

4.0MiB live, 49.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	17	34
1	63	34
0	401	34

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 40

Calls

Call 1

Inputs
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64)))) #s(literal -6 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
#s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal 6 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 18 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(+.f64 (.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal 18 binary64))
(+.f64 #s(literal 18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))
(+.f64 #s(literal 18 binary64) (.f64 #s(literal 6 binary64) (.f64 x x)))

eval4.0ms (0.1%)

Memory: 8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 958 to 170 computations (82.3% saved)

prune34.0ms (1%)

Memory

-34.1MiB live, 10.6MiB allocated; 10ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	49	6	55

Accuracy

100.0%

Counts

55 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.1%	(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
✓	52.3%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	99.9%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	52.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	48.2%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 227 to 112 computations (50.7% saved)

regimes13.0ms (0.4%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) #s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(approx (- (pow x 4) 9) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Calls

4 calls:

3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
3.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes45.0ms (1.3%)

Memory

-37.7MiB live, 23.4MiB allocated; 18ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))

Outputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))

Calls

4 calls:

40.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
98.7%	2	`(*.f64 x x)`
98.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.7%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
98.7%	2	`(*.f64 x x)`
98.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.7%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes9.0ms (0.3%)

Memory

-34.2MiB live, 11.6MiB allocated; 9ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Calls

4 calls:

1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
48.2%	1	`(*.f64 x x)`
48.2%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
48.2%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
48.2%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch12.0ms (0.4%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.441337560598375	1678764.7643587661

Samples

6.0ms

144×

valid

Compiler

Compiled 208 to 190 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33% of total)

ival-div: 1.0ms (33% of total)

ival-mult: 1.0ms (33% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.441337560598375	1678764.7643587661

Compiler

Compiled 208 to 190 computations (8.7% saved)

simplify17.0ms (0.5%)

Memory

-18.2MiB live, 27.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	101
1	34	101
2	53	101
3	82	101
4	110	101
5	127	101
6	138	101
7	142	101
8	149	101
9	157	101
10	165	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

derivations133.0ms (3.9%)

Memory

-5.8MiB live, 138.2MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 101 to 28 computations (72.3% saved)

preprocess30.0ms (0.9%)

Memory: -8.1MiB live, 85.5MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 240 to 86 computations (64.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	20	114
0	26	114
1	43	114
2	86	114
3	174	111
4	266	111
5	329	111
6	355	111
7	373	111
8	386	111
9	394	111
0	394	111

Iter	Nodes	Cost
0	21	84
0	31	84
1	52	84
2	118	84
3	247	84
4	382	84
5	455	84
6	558	84
7	660	84
8	770	84
9	802	84
0	802	84

Iter	Nodes	Cost
0	12	42
0	17	42
1	25	42
2	55	42
3	119	42
4	197	42
5	239	42
6	290	42
7	327	42
8	370	42
9	386	42
0	386	42

Iter	Nodes	Cost
0	27	101
1	34	101
2	53	101
3	82	101
4	110	101
5	127	101
6	138	101
7	142	101
8	149	101
9	157	101
10	165	101

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	20	114
0	26	114
1	43	114
2	86	114
3	174	111
4	266	111
5	329	111
6	355	111
7	373	111
8	386	111
9	394	111
0	394	111

Iter	Nodes	Cost
0	21	84
0	31	84
1	52	84
2	118	84
3	247	84
4	382	84
5	455	84
6	558	84
7	660	84
8	770	84
9	802	84
0	802	84

Iter	Nodes	Cost
0	12	42
0	17	42
1	25	42
2	55	42
3	119	42
4	197	42
5	239	42
6	290	42
7	327	42
8	370	42
9	386	42
0	386	42

Iter	Nodes	Cost
0	27	101
1	34	101
2	53	101
3	82	101
4	110	101
5	127	101
6	138	101
7	142	101
8	149	101
9	157	101
10	165	101

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (58.2%)

explain82.0ms (2.4%)

preprocess22.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize21.0ms (0.6%)

series2.0ms (0.1%)

simplify83.0ms (2.4%)

rewrite45.0ms (1.3%)

eval11.0ms (0.3%)

prune4.0ms (0.1%)

simplify13.0ms (0.4%)

localize42.0ms (1.2%)

series3.0ms (0.1%)

simplify101.0ms (2.9%)

rewrite44.0ms (1.3%)

eval16.0ms (0.5%)

prune5.0ms (0.1%)

simplify59.0ms (1.7%)

localize58.0ms (1.7%)

series7.0ms (0.2%)

simplify140.0ms (4.1%)

rewrite50.0ms (1.5%)

eval45.0ms (1.3%)

prune6.0ms (0.2%)

simplify22.0ms (0.6%)

localize40.0ms (1.2%)

series3.0ms (0.1%)

simplify125.0ms (3.7%)

rewrite62.0ms (1.8%)

eval4.0ms (0.1%)

prune34.0ms (1%)

regimes13.0ms (0.4%)

regimes8.0ms (0.2%)

regimes45.0ms (1.3%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes9.0ms (0.3%)

bsearch12.0ms (0.4%)

bsearch1.0ms (0%)

simplify17.0ms (0.5%)

derivations133.0ms (3.9%)

preprocess30.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	20	114
0	26	114
1	43	114
2	86	114
3	174	111
4	266	111
5	329	111
6	355	111
7	373	111
8	386	111
9	394	111
0	394	111

Iter	Nodes	Cost
0	21	84
0	31	84
1	52	84
2	118	84
3	247	84
4	382	84
5	455	84
6	558	84
7	660	84
8	770	84
9	802	84
0	802	84

Iter	Nodes	Cost
0	12	42
0	17	42
1	25	42
2	55	42
3	119	42
4	197	42
5	239	42
6	290	42
7	327	42
8	370	42
9	386	42
0	386	42

Iter	Nodes	Cost
0	27	101
1	34	101
2	53	101
3	82	101
4	110	101
5	127	101
6	138	101
7	142	101
8	149	101
9	157	101
10	165	101